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Finding the Fourth Proportional to 6,707.08, 9,256.20 and 3,874.57

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Solution

The fourth proportional to 6,707.08, 9,256.20 and 3,874.57 is: 5,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.08 : 9,256.20 = 3,874.57 : x
  2. Step 2: Convert to fraction form
    6,707.08/9,256.20 = 3,874.57/x
  3. Step 3: Cross multiply
    6,707.08x = 9,256.20 × 3,874.57
  4. Step 4: Simplify right side
    6,707.08x = 35,863,807.11
  5. Step 5: Solve for x
    x = 35,863,807.11/6,707.08
  6. Step 6: Final answer
    x = 5,347.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.